Year: 2022
Type: peer-review
Abstract: We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order.We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.In the presence of unitary dynamics, the two topologically distinct phases are separated by a region with sub-volume scaling of the entanglement entropy.We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.We further show that the phase diagram is qualitatively captured by an analytically tractable non-Hermitian model obtained via post-selecting the measurement outcome.Finally we introduce a partial-post-selection continuous mapping, that uniquely associates topological indices of the non-Hermitian Hamiltonian to the distinct phases of the stochastic measurement-induced dynamics.
Authors: Graham Kells, Dganit Meidan, Alessandro Romito
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
OpenAlex ID: W4327660647